Textbook:  Calculus: early transcendentals5th edition, J. Stewart, Thomson Brooks/Cole.
Course objective: To continue the study of the differential and integral calculus. Topics include
• techniques of integration
• introduction to differential equations
• representation of functions as series
• parametric equations
• partial derivatives

### Instructors

Section 1: Dr. D. Haskell, HH316, ext.27244
Course meeting time: MWR 10:30 - 11:20 ITB/137
Office hours: MW 13:30-14:20, F 12:30-13:30

Section 2: Dr. D. Ghioca, HH 407, ext. 26079
Course meeting time: MWR 13:30-14:20 ITB/137
E-mail: dghioca@math.mcmaster.ca
Office hours: MWR 10:00-11:00

Section 3: Dr. O. Unlu, HH 319, ext. 23403
Course meeting time: MW 11:30-12:20, F 13:30-14:20 ITB/137
E--mail: unluo@math.mcmaster.ca
Office hours: MW 12:30-13:30, F 14:30-15:30

Course assessment, in brief (consult the  course information sheet  for more detailed information).
Quizzes: 10%
Midterm I: 20%
Midterm II: 20%
Final: 50%

ANNOUNCEMENTS

11 April 2006: Marks for all tests and quizzes, with all corrections received up until April 11 are posted here.

6 April 2006: The math help centre will continue to run until the final exam (on April 17 at 2pm). Dr. Ghioca and Dr. Unlu are holding their regular office hours during the exam period. Dr Haskell will have office hours during the week of April 10 at the following times: M12:30-14:00, T13:00-14:30, W12:30-14:30.

3 April 2006:  The material for the final exam is everything covered during the course. Here is an overview of what we have (and have not) done:
Chapter 6: 6.2 (omit examples 7,8,9), 6.5
Chapter 7: 7.1 (you do not need to memorise the formula of example 6), 7.2,  7.3 (not the examples involving hyperbolic functions), 7.4 (not Case IV), 7.5, 7.8 (omit the comparison test)
Chapter 9: 9.1, 9.2, 9.3 (omit orthogonal trajectories and mixing problems), 9.5
Chapter 10: 10.1 (omit families of parametric curves), 10.2 (omit surface area), 10.3, 10.4
Chapter 11: 11.1 (omit p.708 to end), 11.2, 11.8, 11.9, 11.10 (omit multiplication and division of power series), 11.11, 17.4. As for Midterm 2, all determination of radius of convergence is done by referring to known series, or using the size of the remainder term. You do not need to know the ratio test.
Chapter 14: 14.1, 14.2, 14.3 (omit Cobb-Douglas function), 14.4 (omit differentials), 14.5 (omit example 4 to end)14.7.

The formula sheet is attached here for reference. Notice that you MAY NOT bring this sheet into the exam. It will be provided for you. It is  posted here only so that you know which formulae you do not need to memorise.

31 March 2006: Practice problems for the final are posted here. As always, solutions will not be posted. You will learn more from the problems by working them out, thinking how to check the answer yourself, and discussing your solutions with your TA or instructor, than by simply reading a solution.

31 March 2006: Updated marks for test 2, quizzes 1-7, with excused absences received as of March 30, are attached here. Any corrections to these marks must be received by the LAST DAY OF CLASSES.

31 March 2006:  Some clarification of the procedure for assigning the final grades seems in order. The marks for Test 2 will not be adjusted. All the term marks, weighted according to the original formula (6 best quizzes worth 10%, test 1 worth 20%, test 2 worth 20%, final worth 50%) will be added together. (For those with an excused absence from one of the tests, the weight will be redistributed between the other three parts proportionally. There are no excused absences from quizzes.) These marks will then be curved, if necessary, to give a mark which matches the standard McMaster grading scale. There will not be an option of  100% final. The curving of the marks at the end will adjust for any discrepancies from the second test, while preserving relative standing.

25 March 2006: Test 2 marks for all tutorials are now in, as are quizzes 1-7. Please check your marks and notify your instructor of any discrepancies.

25 March 2006: The topic for this week's quiz has been changed. See the calendar below.

22 March 2006: The instructors offer the following guidelines for interpreting the marks on the second midterm. Note that this is only a guideline, not a promise of your final mark. You can use this to get an idea of what the second midterm means towards your overall mark for the course. Please talk to any of us if you have concerns.
0-18: F
19-22: D+/-
23-27: C+/-
28-35: B+/-
36-50: A+/-

20 March 2006: Test 2 marks are now available for all tutorials except 6, 9, 11, 14. The average so far is 23/50. As was remarked in lectures, we do not plan to fail more than half of the class. Nevertheless, you should take these marks as a warning of what you do not know. The test may have been too long, but each individual question was not too hard. The material from this test will also be on the final exam. Talk to your instructor in office hours, talk with your TA, talk to each other. Work out what you did not understand from this exam, and make sure that you do understand it for the final.

17 March 2006: Test 2 solutions are now available. Note that there is a small mistake in the solution to the last problem - a factor of 1/90 was lost in the integration. Marks should be available on Monday, and tests will be returned in tutorial during the week of March 19.

14 March 2006: Someone left a backpack in the test room last night. It is in Dr. Haskell's office - HH316.

8 March 2005: Test 2 seating arrangements are posted at the bottom of the page. Note that this is not exactly the same as test 1, so please read it carefully. Homeworks for Chapter 10 are now posted on the calendar.

3 March 2006: The next midterm is on Monday, March 13, at 6:45 pm. Anyone who has a scheduled conflict should inform their instructor and arrange to take the test at the make-up time. Rooms will be posted by tutorial as for the last test. Information on the material covered in the test can be found here. Practice problems are here.

28 February 2006: There was a mistake in the marks spreadsheet, which affected the Quiz 1 marks for students in tutorials 1-5. This is now corrected in the file linked below. Also, I had forgotten to sort by ID number. You should now find it easier to find your marks!

28 February 2006: If you find that a mark has been recorded incorrectly, please contact either your TA or your instructor in person, and show them the original of the quiz or test.

27 February 2006: marks for test 1 and quizzes 1-4 are posted here. This includes all excused absences and mark changes received as of 26 February 2006. Please check your marks to see that they are recorded correctly!

23 February 2006: check quiz 6 and 7 topics below

21 February 2006: the midterm average was 32/50.

16 February 2006: complete test marks (alll tutorials, and early seating tests) are now posted here An X indicates an excused absence.

15 February 2006: test marks, except for tutorials 2 and 16, are now posted here An X indicates an excused absence.

15 February 2006: solutions correction: the solution given to the second multiple choice problem is written out correctly, but indicates that the answer is e, when actually it is f

7 February 2006: Dr. Haskell's office hour on Wed 13:30-14:30 is cancelled.

7 February 2006: solutions for test 1

5 February 2006: there is a typo on the sample problems posted on 30 January. The correct answer for the multiple choice problem is not among those listed. The correct answer is b), once the limits of integration have been changed from (0,1) to (1,4).

1 February 2006: test room information is posted at the bottom of the page

30 January 2006: information about the test format can be found here

27 January 2006: Dr Haskell's office hours have been changed. See above for new times.

19 January 2006: see the calendar for revisions to the quiz topic for quizzes 3 and 4.

16 January 2006: Math Help Centre is now running. Tutors available for free help in all first year math courses Monday-Thursday 13:30-17:30 and for calculus courses also Monday-Thursday 17:30-20:30 and F 13:30-16:30.

8 January 2006: if you have not taken calculus for a while, here is the fundamental material from Math 1AA that you should review in order to proceed in Math 1AA: Sections from Stewart. 1.2, 1.3, 1.5 1.6; 3.1, 3.2, 3.3, 3.4, 3.5, 3.8; 4.10; 5.2, 5.3, 5.5.

5 January 2006: To change your tutorial, or to register in a section and/or tutorial: follow the instructions at the website http://www.math.mcmaster.ca/courses/changes.php. If it does not work, go to Math and Stats office in HH105. If that does not work, talk to a counsellor in the office of Associate Dean of Science in GS-116.

### Tutorials

 Tutorial number Time and location TA name TA office hours in Math Help Centre 01 T 11:30 BSB/B138 Alex Rennet R 14:30-16:30, rennetad@mcmaster.ca 02 F 12:30 BSB/B138 Mehmetcik Pamuk R 15:30-17:30, pamukm@math.mcmaster.ca 03 W 9:30 BSB/B138 Hawar Emin F 14:30-16:30, eminh@mcmaster.ca 04 W 13:30 BSB/B138 Hawar Emin F 14:30-16:30, eminh@mcmaster.ca 05 F 10:30 HH/102 Silan Emin F 14:30-16:30, emins@mcmaster.ca 06 R 11:30 BSB/B138 Faria Saeedi MW 17:30-18:30, saeedifn@mcmaster.ca 07 W 11:30 BSB/B138 Prateek Goyal M 18:30-20:30, g_prateek@hotmail.com 08 F 8:30 HH/102 Prateek Goyal M 18:30-20:30, g_prateek@hotmail.com 09 M 16:30 BSB/B138 Maaz Mahmood M 18:30-20:30, mahmom@mcmaster.ca 10 R 9:30 BSB/B138 Xuping Zhang MR 17:30-18:30, phoebeisme@hotmail.com 11 F 11:30 BSB/B138 Faria Saeedi MW 17:30-18:30, saeedifn@mcmaster.ca 12 M 9:30 BSB/B138 Eric Mills T 18:30-20:30, millsea@mcmaster.ca 13 W 12:30 BSB/B138 Jean-Martin Albert W 14:30-16:30, alberj@math.mcmaster.ca 14 W 16:30 BSB/B138 Maaz Mahmood M 18:30-20:30, mahmom@mcmaster.ca 15 M 13:30 BSB/B138 Eric Mills T 18:30-20:30, millsea@mcmaster.ca 16 M 12:30 ABB/270 Mehmetcik Pamuk R 15:30-17:30, pamukm@math.mcmaster.ca 17 F 9:30 GS/218 Xuping Zhang MR 17:30-18:30, phoebeisme@hotmail.com 18 T 10:30 MDCL/1010 Jean-Martin Albert W 14:30-16:30, alberj@math.mcmaster.ca

## Calendar

The calendar gives the tentative schedule for the covering of topics in lecture. This may change, as sections take more or less time to complete than expected. The assignment problems are listed with the appropriate section. To keep up-to-date with the material, you should do the problems on the same day that the section is covered in class. Each week, the topic for the quiz in that week's tutorial comes from the material covered in lecture dering the previous week. There will be no quiz in the same week as a midterm.

 Dates Monday Wednesday Thursday (section 1 and 2) Friday (section 3) Quiz topic this week Jan 2-6 6.5 average value/review Riemann sums p467: 5, 7, 14, 19 6.2 volumes of revolution p452: 5, 11, 15, 17 none Jan 9-13 6.2 volumes of revolution p452:  27, 33, 49 7.1 integration by parts p480: 5, 13, 19, 27, 59 7.2 trigonometric integrals p488: 7, 15, 25, 57, 61 integration by substitution Jan 16-20 7.3 trigonometric substitution p494: 5, 13, 25, 33, 39 7.4 partial fractions p504: 3, 9, 21, 33, 43 7.4 partial fractions p504: 35, 49, 63 integration by parts Jan 23-27 7.5 integration strategies p511: 5, 15, 23, 27, 45 7.8 improper integrals p537: 1, 13, 25, 41, 63 catch-up day trig substitution and trig integrals Jan 30 - Feb 3 9.1 differential equations p591: 5,7,9,13 9.2 euler's method p599: 3,5,7,11,19,27 9.3 separable equations p607: 5,7,9,11,15,33 partial fractions Feb 6-10 9.5 logistic growth p629: 1,5,11,13 Midterm I 11.1 sequences p710: 13,17,27,33,39,55,57,61 11.2 geometric series p720: 1,9,11,17,23,25,31,33,51 none Feb 13-17 11.9 representation of functions as series p759: 7,9,15,17,25,35,39 11.10 Taylor series p770: 5,7,11,15,17,25,27 11.10 Taylor series p770: 39,43,45,47,49,59 solution of separable and logistic equations Feb 20-24 reading week reading week reading week Feb 27 - Mar 3 11.11 binomial series p775: 3,5,7,15,17 17.4 series solutions to ODEs p1167: 5,7,9,11 catch-up day geometric series and power series Mar 6-10 10.1 parametric equations p656: 7, 13, 15, 21, 28, 10.2 calculus with parametric curves p666: 5, 7, 11, 25, 31, 41, 51 10.3 polar coordinates p677: 1, 3, 5, 11, 17, 25, 35, 39 Taylor series Mar 13-17 10.4 area and length in polar coordinates p683: 5, 11, 19, 27, 39 Midterm II catch-up day 14.1 functions of several variables p898: 5, 7, 11, 12, 15, 19, 25, 27, 30, 37, 43, 53-58 none Mar 20-24 14.2 limits and continuity p908: 1, 7, 11, 13, 19, 29, 33, 35, 37 14.2 limits and continuity 14.3 partial derivatives p919: 1, 5, 15, 21, 25, 27, 35, 37, 39, 47, 49, 68 parametric curves and polar coordinates Mar 37-31 14.4 tangent planes and linear approximation p931: 3, 5, 11, 13, 19, 21, 37 14.5 chain rule p938: 3, 5, 9, 11, 13, 35, 39 14.7 maxima and minima p961: 1, 3, 5, 9, 13, 17, 27, 29, 33, 37, 45, 50 limits and continuity for functions of several variables Apr 3-7 14.7 maxima and minima review - last day classes

Test 2 Seating Arrangement
Monday, March 13, 2006
MATH-1AA3        6:45 pm - 7:45 pm

Look up your tutorial # in the table below to find your test location.  If you DO NOT have a tutorial number, you will write the test in MDCL-1102.

 ROOM TUTORIAL NUMBER T29 -101 1 T29-105 2, 3, 4 T28 - 001 8, 10, 13 ABB-102 6, 16, 18 MDCL - 1102 5, 7, 17 MDCL - 1110 12, 14, 15 MDCL - 1309 9, 11

Make-up time for students with a conflict, who have already informed their instructor:
Mar 13, 5:00-6:00pm, REF-102